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Finding the Third Proportional to 199,676 and 436,195

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Solution

The third proportional to 199,676 and 436,195 is: 952,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,676 : 436,195 = 436,195 : x
  2. Step 2: Convert to fraction form
    199,676/436,195 = 436,195/x
  3. Step 3: Cross multiply
    199,676x = 436,195 × 436,195
  4. Step 4: Simplify right side
    199,676x = 190,266,078,025
  5. Step 5: Solve for x
    x = 190,266,078,025/199,676
  6. Step 6: Final answer
    x = 952,874.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.